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Finding the Fourth Proportional to 17,666.28, 26,498.61 and 5,185.80

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Solution

The fourth proportional to 17,666.28, 26,498.61 and 5,185.80 is: 7,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.28 : 26,498.61 = 5,185.80 : x
  2. Step 2: Convert to fraction form
    17,666.28/26,498.61 = 5,185.80/x
  3. Step 3: Cross multiply
    17,666.28x = 26,498.61 × 5,185.80
  4. Step 4: Simplify right side
    17,666.28x = 137,416,491.74
  5. Step 5: Solve for x
    x = 137,416,491.74/17,666.28
  6. Step 6: Final answer
    x = 7,778.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.